document.write( "Question 159195: hi,
\n" ); document.write( "could you please give me the equations/solutions for these questions,
\n" ); document.write( "thanks,\r
\n" ); document.write( "\n" ); document.write( "1. the sum of two number is 20. what is the least possible sum of their squares?
\n" ); document.write( "2. what number exceeds its square by the greatest amount?\r
\n" ); document.write( "\n" ); document.write( "i will be waiting.\r
\n" ); document.write( "\n" ); document.write( "thank you \n" ); document.write( "

Algebra.Com's Answer #117326 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
1. the sum of two number is 20. what is the least possible sum of their squares?
\n" ); document.write( "2. what number exceeds its square by the greatest amount?
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\n" ); document.write( "1. S = x^2 + (20-x)^2
\n" ); document.write( "S = x^2 + 400 -40x +x^2
\n" ); document.write( "S = 2x^2 - 40x + 400
\n" ); document.write( "Set 1st derivative = 0
\n" ); document.write( "4x - 40 = 0
\n" ); document.write( "x = 10
\n" ); document.write( "10^2 + 10^2 = 200
\n" ); document.write( "--------------
\n" ); document.write( "2. D = x-x^2
\n" ); document.write( "Set 1st derivative = 0
\n" ); document.write( "1-2x = 0
\n" ); document.write( "x = 1/2\r
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